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math.NA2023★ 12 cited
An Efficient Quadratic Interpolation Scheme for a Third-Order Cell-Centered Finite-Volume Method on Tetrahedral Grids
Hiroaki Nishikawa, Jeffery A. White
In this paper, we propose an efficient quadratic interpolation formula utilizing solution gradients computed and stored at nodes and demonstrate its application to a third-order ce…
math.NA2023
On Pitfalls in Accuracy Verification Using Time-Dependent Problems
Hiroaki Nishikawa
In this short note, we discuss the circumstances that can lead to a failure to observe the design order of discretization error convergence in accuracy verification when solving a…